3 papers
math.CA2025
Carleson operators on doubling metric measure spaces
Lars Becker, Floris van Doorn, Asgar Jamneshan +2
Doubling metric measure spaces provide a natural framework for singular integral operators. In contrast, the study of maximally modulated singular integral operators, the so-called…
math.CA2025
A blueprint for the formalization of Carleson's theorem on convergence of Fourier series
Lars Becker, MarÃa Inés de Frutos-Fernández, Leo Diedering +14
This paper is the blueprint underlying the Lean formalization of the proof of Carleson's classical result asserting almost everywhere convergence of Fourier series of continuous fu…
math.NT2024
Density of Rational Points Near Flat/Rough Hypersurfaces
Rajula Srivastava, Niclas Technau
For , let be a compact hypersurface, parametrized by a homogeneous function of degree , with non-vanishing curv…